کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4640234 1341268 2011 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
PDE triangular Bézier surfaces: Harmonic, biharmonic and isotropic surfaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
PDE triangular Bézier surfaces: Harmonic, biharmonic and isotropic surfaces
چکیده انگلیسی

We approach surface design by solving second-order and fourth-order Partial Differential Equations (PDEs). We present many methods for designing triangular Bézier PDE surfaces given different sets of prescribed control points and including the special cases of harmonic and biharmonic surfaces. Moreover, we introduce and study a second-order and a fourth-order symmetric operator to overcome the anisotropy drawback of the harmonic and biharmonic operators over triangular Bézier surfaces.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 235, Issue 5, 1 January 2011, Pages 1098–1113
نویسندگان
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